Okay your town satisfaction is based on a few things, in order to check your satisfaction go to the town hall and look at the number under the big smiley face. If it's above 50 you're okay if it's below you're headed for riots kids!
Ways to keep satisfaction up:
1. Cultural treaties, level up those museums and announce that you have a CT to the alliance, someone is bound to answer you, this raises satisfaction by 50 for every piece of art.
2. Taverns, give the people wine! Drunk populations are happy ones! Though this can get a bit draining on the ole wine resources, so to help reduce this the wine press building is most useful!
3. For a quick fix, build some military, this reduces your population and thus reduces the amount of people you need to keep happy...